Pre-7am weekend breakfast, Upper East Side?

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Pre-7am weekend breakfast, Upper East Side?

We're flying in on the red-eye Friday night to visit friends on the Upper East Side. Our flight gets into JFK at the ridiculous hour of 5:30 a.m., so we'd like to find someplace to get breakfast to allow our friends to sleep in a little before we show up on their doorstep. Is there any good food available on a Saturday at that early hour of the morning? Are any of the following open and a good choice: Sarabeth, Petak's, Yura & Co., Three Guys?